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a) Explain how to find a recurrence relation for the number of bit strings of length n not containing two consecutive 1s.
b) Describe another counting problem that has a solution satisfying the same recurrence relation.
Discuss the factors that favor different organizational structures. Explain them and provide an example to illustrate each, either from your workplace or one that you know/admire and how these structures exist (or not) and how these are beneficial..
Explain why the statement in (a) is true.
Let U, V ⊂ W be subspaces of a finite dimensional vector space W . Define U + V = {w ∈ W | w = u + v, u ∈ U, v ∈ V }. (a) Prove that dim(U + V ) ≤ dim U + dim V .
A sample of an ideal gas has a volume of 2.28 L at 279 K and 1.07 atm.- Calculate the pressure when the volume is 1.03 L and the temperature is 307 K.
The Springer Dog Food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts of protein and vitamins. Ingredient A provides 16 units of protein and 4 units of vitamins per pound. Ingredient B provi..
Show that for 0 ≤ t ≤ 1, x(t) is in the convex hull of the control points.
The grants management program of the Environment Protection Agency (EPA) water division was formed several years ago. The program's main functions are to review grant applications, engineering design reports, and change orders and to perform opera..
Data collected on the yearly demand for 50-pound bags of fertilizer at Wallace Garden Supply are shown in the following table:
Determine the highest real root of: f(x) = 2x3 - 11.7x2 + 17.7x - 5 iteration using the secant method. Use x-i 3 and x0 = 4. Secant algorithm: xi+1 = xi - {f(xi) (xi-1 - xi)} / {f(xi-1) - f(xi).
Resistors R1, and R2, have resistances of 50.0 Ohms, and 10.0 Ohms. R1 and R2 are connected in series-parallel circuit. What is the total resistance in ohms?
A ceramic bowl is turned on a potter's wheel to approximate the surface obtained by revolving the curve y= (2/3)((x^2) - 1 ) from x=1 to x=2 about the y axis. What is the approximate outside area of the bowl? [assume that each unit on the x and y ..
Describe the economic issues and describe the special needs (e.g., health) of the population being served.
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